Standard Form To Slope Intercept Form Practice

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = -\frac{5}{3}x + 4.

Front

Convert the equation 2x + 2y = 6 to slope-intercept form.

Back

y = -x + 3.

Front

Solve for y in the equation 10x - 5y = 30.

Back

y = 2x - 6.

Front

What is the slope of the line represented by the equation y = 4x + 20?

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -2x + 6?

Back

The y-intercept is 6.

Front

Convert the equation 2x + 4y = 4 to slope-intercept form.

Back

y = -\frac{1}{2}x + 1.